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Finding the Fourth Proportional to 4,174.70, 5,761.70 and 2,405.96

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Solution

The fourth proportional to 4,174.70, 5,761.70 and 2,405.96 is: 3,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.70 : 5,761.70 = 2,405.96 : x
  2. Step 2: Convert to fraction form
    4,174.70/5,761.70 = 2,405.96/x
  3. Step 3: Cross multiply
    4,174.70x = 5,761.70 × 2,405.96
  4. Step 4: Simplify right side
    4,174.70x = 13,862,419.73
  5. Step 5: Solve for x
    x = 13,862,419.73/4,174.70
  6. Step 6: Final answer
    x = 3,320.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.